期刊论文详细信息
Journal of inequalities and applications
Generalized fixed point theorems for multi-valued α - ψ -contractive mappings
Nawab Hussain1 
关键词: metric space;    fixed point;    α-ψ-contraction;   
DOI  :  10.1186/1029-242X-2014-348
学科分类:数学(综合)
来源: SpringerOpen
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【 摘 要 】

The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As an application, we derive some new fixed point theorems for ψ-graphic contractions defined on a metric space endowed with a graph as well as an ordered metric space. The presented results complement and extend some very recent results proved by Asl et al. (Fixed Point Theory Appl. 2012:212, 2012) and Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) as well as other theorems given by Hussain et al. (Fixed Point Theory Appl. 2013:212, 2013). Some comparative examples are constructed which illustrate the superiority of our results to the existing ones in the literature. MSC:46S40, 47H10, 54H25.

【 授权许可】

CC BY   

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